40053 has 12 divisors (see below), whose sum is σ = 58560. Its totient is φ = 24336.

The previous prime is 40039. The next prime is 40063. The reversal of 40053 is 35004.

40053 = T₄₂ + T₄₃ + ... + T₆₇.

It is not a de Polignac number, because 40053 - 2⁴ = 40037 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40053.

It is not an unprimeable number, because it can be changed into a prime (40013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468 + ... + 546.

It is an arithmetic number, because the mean of its divisors is an integer number (4880).

2⁴⁰⁰⁵³ is an apocalyptic number.

It is an amenable number.

40053 is a deficient number, since it is larger than the sum of its proper divisors (18507).

40053 is a wasteful number, since it uses less digits than its factorization.

40053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 40053 is about 200.1324561384. The cubic root of 40053 is about 34.2146170547.

Subtracting from 40053 its product of nonzero digits (60), we obtain a palindrome (39993).

Adding to 40053 its reverse (35004), we get a palindrome (75057).

The spelling of 40053 in words is "forty thousand, fifty-three".